Theorems · Theorem · logic and foundations
Ordinal.sub_le
∀ {a b c : Ordinal.{u_4}}, a - b ≤ c ↔ a ≤ b + c- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- le_reflproof · cited by 2,061
- Ordinalstatement and proof · cited by 1,688
- add_le_addproof · cited by 666
- le_or_gtproof · cited by 269
- add_le_add_iff_leftproof · cited by 45
- Ordinal.add_sub_cancel_of_leproof · cited by 14
- Ordinal.le_add_subproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Ordinal.sub_le_selfproof · cited by 4
- Ordinal.exists_lt_add_of_not_isPrincipal_addproof · cited by 2
- Ordinal.lt_subproof · cited by 2
- Ordinal.sub_subproof · cited by 2
- Ordinal.mul_subproof · cited by 1